New Results on Start-Points for Multi-Valued Maps

Abstract

In this manuscript we investigate the existence of start-points for the generalized weakly contractive multi-valued mappings in the setting of left K-complete quasi-pseudo metric space. We provide an example to support the given result.

Some best proximity point results for multivalued mappings on partial metric spaces

“…This famous principle is a very useful tool for the existence and uniqueness of the solution of problems in various fields such as differential equations, integral equations, partial differential equations. Because of its applicability, many authors have studied to generalize this principle [4,8,16,18,24,26,27]. One of the interesting and famous generalizations was proved by Nadler [22] by taking into account multivalued mappings on metric spaces as follows.…”

Multivalued rational type <i>F</i>-contraction on orthogonal metric space

“…[12] was the first author, who combined the ideas of multi-valued mappings and contractions and proved that this type of mapping has a fixed point. Inspired by his result, various fixed point results concerning multivalued contractions appeared in the last decades; see, for instance, [5,6,2,9,11,14,13]. Also, multivalued F −contractions by combining the ideas of Wardowski and Nadler was given in [1].…”